Related rates Part A: 1. Consider a right triangle with hypotenuse of (fixed) length 46 cm...

Related rates Part A:

1. Consider a right triangle with hypotenuse of (fixed) length 46 cm and variable legs of lengths x and y, respectively. If the leg of length x increases at the rate of 6 cm/min, at what rate is y changing when x = 5 cm? (Round your answer to three decimal places.)

2. Water is flowing into a vertical cylindrical tank of diameter 8 m at the rate of 5 m³/min. Find the rate at which the depth of the water is rising. (Round your answer to three decimal places.)

3. A gas is said to be compressed adiabatically if there is no gain or loss of heat. When such a gas is diatomic (has two atoms per molecule), it satisfies the equation PV ^1.4 = k, where k is a constant, P is the pressure, and V is the volume. At a given instant, the pressure is 23 kg/cm², the volume is 35 cm³, and the volume is decreasing at the rate of 6 cm³/min. At what rate is the pressure changing?

Expert Solution

milcah answered 2 years ago

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